Adam calculates his annual salary (base pay and commission), y, using the model y=0.28x+38,000
, where x represents his total sales for the year.(5 points)
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1) What is the y-intercept? Response area
2) What does the y-intercept mean in context? Response area
3) What is the slope? Response area
4) What does the slope mean in context? Response area
5) If Adam made $45,000 total annual salary, how much was his total sales?
1) The y-intercept is 38,000.
2) The y-intercept represents Adam's annual salary (base pay and commission) when his total sales for the year are zero.
3) The slope is 0.28.
4) The slope represents the rate at which Adam's annual salary (base pay and commission) increases for every unit increase in his total sales for the year.
5) To find out how much Adam's total sales were, we need to solve the equation for x when y is equal to 45,000.
45,000 = 0.28x + 38,000
Subtracting 38,000 from both sides, we get:
7,000 = 0.28x
Dividing both sides by 0.28, we get:
x = 25,000
So Adam's total sales for the year were $25,000.